7314416464 has 40 divisors (see below), whose sum is σ = 15053732928. Its totient is φ = 3430970880.

The previous prime is 7314416449. The next prime is 7314416471. The reversal of 7314416464 is 4646144137.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41359 + ... + 127825.

Almost surely, 2^7314416464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7314416464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526866464).

7314416464 is an abundant number, since it is smaller than the sum of its proper divisors (7739316464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7314416464 is a wasteful number, since it uses less digits than its factorization.

7314416464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86803 (or 86797 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 7314416464 is about 85524.3618158008. The cubic root of 7314416464 is about 1941.1535690709.

The spelling of 7314416464 in words is "seven billion, three hundred fourteen million, four hundred sixteen thousand, four hundred sixty-four".